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Finding the Fourth Proportional to 2,774.52, 3,827.97 and 2,564.73

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Solution

The fourth proportional to 2,774.52, 3,827.97 and 2,564.73 is: 3,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.52 : 3,827.97 = 2,564.73 : x
  2. Step 2: Convert to fraction form
    2,774.52/3,827.97 = 2,564.73/x
  3. Step 3: Cross multiply
    2,774.52x = 3,827.97 × 2,564.73
  4. Step 4: Simplify right side
    2,774.52x = 9,817,709.50
  5. Step 5: Solve for x
    x = 9,817,709.50/2,774.52
  6. Step 6: Final answer
    x = 3,538.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.